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15. [-/1 Points] DETAILS LARCALC11 13.6.008. Find the directional derivative of the function at $P$ in the direction of $v$. $f(x, y) = x^3 - y^3$, $P(8, 7)$, $v = \frac{\sqrt{2}}{2}(i + j)$ Need Help? Submit Answer 16. [-/1 Points] DETAILS LARCALC11 13.6.022. Use the gradient to find the directional derivative of the function at $P$ in the direction of $v$. $h(x, y) = e^{-7x} \sin(y)$, $P(1, \frac{\pi}{2})$, $v = -i$

          15. [-/1 Points]
DETAILS
LARCALC11 13.6.008.
Find the directional derivative of the function at $P$ in the direction of $v$.
$f(x, y) = x^3 - y^3$, $P(8, 7)$, $v = \frac{\sqrt{2}}{2}(i + j)$
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Submit Answer
16. [-/1 Points]
DETAILS
LARCALC11 13.6.022.
Use the gradient to find the directional derivative of the function at $P$ in the direction of $v$.
$h(x, y) = e^{-7x} \sin(y)$, $P(1, \frac{\pi}{2})$, $v = -i$

15. [-/1 Points]
DETAILS
LARCALC11 13.6.008.
Find the directional derivative of the function at P in the direction of v.
f(x, y) = x^3 - y^3, P(8, 7), v = (√(2))/(2)(i + j)
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Submit Answer
16. [-/1 Points]
DETAILS
LARCALC11 13.6.022.
Use the gradient to find the directional derivative of the function at P in the direction of v.
h(x, y) = e^-7xsin(y), P(1, (π)/(2)), v = -i

Added by Bryan R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/14/2023

Step 1

Step 1: To find the directional derivative of a function at a point in the direction of a vector, we can use the formula: D_v(f) = ∇f · v where ∇f is the gradient of the function and · represents the dot product. Show more…

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15. [-/1 Points] DETAILS Find the directional derivative of the function at P in the direction of v. √2 f(x, y) = x³ - y³, P(8, 7), v = (i+j) 2 Need Help? Submit Answer 16. [-/1 Points] Read It LARCALC11 13.6.008. DETAILS LARCALC11 13.6.022. Use the gradient to find the directional derivative of the function at P in the direction of v. h(x, y) = e-7x sin(y), P(1,7). v=-i 15.[-/1Points] DETAILS LARCALC1113.6.008 Find the directional derivative of the function at P in the direction of v Need Help? Submit Answer 16.[-/1Points] DETAILS LARCALC1113.6.022 Use the gradient to find the directional derivative of the function at P in the direction of v. h(x, y) = e-7x sin(y)